Question

If (a+b) =12and ab=14,then (a*a+b*b) =?​

Answer 1

Step-by-step explanation:

(a+b)^2 = a^2 + b^2 + 2ab

(12)^2 =a^2 + b^2 +2(14)

144 = a^2 + b^2 + 28

a^2 + b^2 =144-28

a^2 +b^ 2 = 116

Hope it will help you!

Answer 2

Answer:

$\large{ \underline{ \sim\red{your \: answer}}}$

Step-by-step explanation:

$\sf\purple{a \times a + b \times b = {a}^{2} + {b}^{2} } \\ \sf\purple{ = > {a}^{2} + {b = {(a + b)}^{2} } - 2ab} \\ \sf\purple{here \: (a + b) = 12 \: \: \: \: ab = 14} \\ \sf\purple{ = > {(12)}^{2} - 2 \times 14} \\ \sf\purple{ = > 144 - 28} \\ \sf\purple{ = > 116}$

$\large\boxed{ \fcolorbox{blue}{red}{hope \: it \: help \: you}}$